Practice Page
Directions: Answer these questions pertaining to factoring. Only completely factored answers are deemed as correct. The answers from the helpers may, or may not, be correct.
1.
Factor completely:   2x2 - 98

Choose:
2(x + 7)(x + 7) 2(x - 7)(x - 7)
2(x + 7)(x - 7) 2(x - 7)2

 

 

2.
Factor completely:   6x2 - 15x - 9

Choose:
(2x + 1)(3x - 9) (2x - 1)(3x - 9)
3(x + 3)(2x - 1) 3(2x + 1)(x - 3)
fm2

 

 

3.
Factor completely:   a3b - 49ab3

Choose:
a3b3(a + b)(a - b) a3b(a + 7b)(a - 7b)
ab(a + 7b)(a - 7b) a(a2b + 7b)(a - 7b2)

 

 

4.
Factor completely:   4a2 + 5a - 6

Choose:
(4a + 2)(a - 3) (2a - 3)(2a + 2)
(2a + 3)(2a - 2) (4a - 3)(a +2)
fm1

 

 

5.
Factor completely:   -2p3 + 4p2 + 14p 
Choose:
-2p(p2 + 2p - 7) 2p(p2 - 2p + 7)
-2p(p + 2)(p - 7) -2p(p2 - 2p - 7)

 

 

6.
Factor completely:   x4 - 81

Choose:
(x2 + 9)(x2 - 9) (x - 3)(x + 3)(x2 + 9)
(x2 - 9)2 (x - 3)2(x2 + 9)
fm3

 

 

7.
Factor completely:  (a + 2)(a + 3) + (a - 1)(a + 3)

Choose:
(a + 3)(2a - 1) (2a + 1)(a + 3)
(a + 3)(a2 + a - 2) (a - 2)(a + 3)

 

 

8.
Factor completely:   mixedfrac
Choose:
mfb mfa
mfc (5 - y)(5 + y)
fm4

 

 

9.
Factor completely:   49 - 36x2y2

Choose:
(7 + 6xy)(7 + 6xy) (7 - 6xy)(7 - 6xy)
(7 + 6xy)(7 - 6xy) (7 + 4xy)(7 - 9xy)

 

 

10.
Which choice is NOT equivalent to:
   x2(x + 3) + 3(x + 3)(x - 6)
Choose:
(x + 3)(x + 6)(x - 3) (x2 - 9)(x + 6)
(x2 - 9)(x + 3) (x + 3)(x2 + 3x - 18)
fm5

 

 

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